cosinusprod_error_hdg_average.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "cosinusprod.h"
int main(int argc, char**argv) {
environment rheolef(argc, argv);
Float err_linf_expected = (argc > 1) ? atof(argv[1]) : 1e+38;
field uh, bar_uh;
din >> catchmark("u") >> uh
>> catchmark("bar_u") >> bar_uh;
space Xh = uh.get_space();
space Zh = bar_uh.get_space();
geo omega = Zh.get_geo();
size_t d = omega.dimension();
size_t k = Xh.degree();
trial zeta(Zh); test xi(Zh);
integrate_option iopt;
iopt.invert = true;
form inv_mz = integrate (zeta*xi, iopt);
iopt.set_order(2*(k+2)+3);
field lh = integrate (u_exact(d)*xi, iopt);
field bar_pi_h_u = inv_mz*lh;
field eh = interpolate (Zh, bar_uh-bar_pi_h_u);
Float err_linf = eh.max_abs();
iopt.set_order(2);
Float err_l2 = sqrt(integrate (omega, sqr(bar_uh-bar_pi_h_u), iopt));
derr << "err_l2 = " << err_l2 << endl
<< "err_linf = " << err_linf << endl;
return (err_linf <= err_linf_expected) ? 0 : 1;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::field_basic::max_abs
T max_abs() const
Definition: field.h:731
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition: integrate_option.h:254
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::derr
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
cosinusprod.h
The cosinus product function.
main
int main(int argc, char **argv)
Definition: cosinusprod_error_hdg_average.cc:29
eh
field_basic< T, M > eh
Definition: form_field_expr.h:58
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef.h
rheolef - reference manual
u_exact
g u_exact
Definition: taylor_exact.h:26